(x+1)-3(x+4)=7(2-x)

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Solution for (x+1)-3(x+4)=7(2-x) equation:


Simplifying
(x + 1) + -3(x + 4) = 7(2 + -1x)

Reorder the terms:
(1 + x) + -3(x + 4) = 7(2 + -1x)

Remove parenthesis around (1 + x)
1 + x + -3(x + 4) = 7(2 + -1x)

Reorder the terms:
1 + x + -3(4 + x) = 7(2 + -1x)
1 + x + (4 * -3 + x * -3) = 7(2 + -1x)
1 + x + (-12 + -3x) = 7(2 + -1x)

Reorder the terms:
1 + -12 + x + -3x = 7(2 + -1x)

Combine like terms: 1 + -12 = -11
-11 + x + -3x = 7(2 + -1x)

Combine like terms: x + -3x = -2x
-11 + -2x = 7(2 + -1x)
-11 + -2x = (2 * 7 + -1x * 7)
-11 + -2x = (14 + -7x)

Solving
-11 + -2x = 14 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
-11 + -2x + 7x = 14 + -7x + 7x

Combine like terms: -2x + 7x = 5x
-11 + 5x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
-11 + 5x = 14 + 0
-11 + 5x = 14

Add '11' to each side of the equation.
-11 + 11 + 5x = 14 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 14 + 11
5x = 14 + 11

Combine like terms: 14 + 11 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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